A more general form of the power law process intensity function is This assumes that the system…

A more general form of the power law process intensity
function is

This assumes that the system maintains a constant rate of
failure (essentially renewals) only until time c at which point the system also
begins to wear out or deteriorate under a minimal repair concept. If an
equipment item behaves in this fashion with a = .0001, b = 1.4, c = 1000 hr.
and A = .001 failures per hour, find the expected number of failures over the
first 5000 hours.